Yes and no.
Yes for when there is a complete sentence (or independent clause) after the colon, as well as for when the first word after a colon is a proper noun.
No for any other time, such as when listing items.
Old answer: No, unless you would capitalise it anyway, such as a proper name.
You should not capitalize a sentence fragment following a colon.
No, a colon does not make the word after it capitalized.
Not unless a proper noun follows the semi-colon. The parts before and after the semi-colon are part of the same sentence. You do not capitalize in the middle of a sentence unless it is a proper noun.
In a list, you would typically capitalize the first word of each item, proper nouns, and the first word after a colon if it introduces a complete sentence.
It depends on the style guide you follow. Some style guides recommend capitalizing the first letter after a colon if the text following the colon is a complete sentence. Others suggest using lowercase unless the text is a proper noun or begins a complete sentence.
No, only after a full stop (period). Also do not capitalise "The" and "A" in your sentence.
no, not unless its a proper noun or adjective.
Capitalization and punctuation are optional when using single words or phrases in bulleted form. If each bullet or numbered point is a complete sentence, capitalize the first word and end each sentence with proper ending punctuation. The rule of thumb is to be consistent. Use a colon instead of a semicolon between two sentences when the second sentence explains or illustrates the first sentence and no coordinating conjunction is being used to connect the sentences. If only one sentence follows the colon, do not capitalize the first word of the new sentence. If two or more sentences follow the colon, capitalize the first word of each sentence following.
No, it's basically just separating ideas on the same subject. You'd need to capitalize only if it's required like with months, names, etc. Other than that, you don't need to capitalize after a semicolon.
The conventional rule for capitalization after a colon is "Don't capitalize the first word after a colon". One clear exception is where a quotation follows the colon and the first word of the quoted text is originally capitalized. Additionally, where two or more sentences follow the colon, the general rule is to capitalize the first word of each sentence.
no.
I would capitalize all of them. Catch Me If You Can.